<p>Based on the extended Huygens–Fresnel integral within the framework of the paraxial approximation, the analytical formula of finite energy Airy Hermite–hollow-Gaussian (FEAHHG) beam propagating through a chiral medium is developed. The derived formula allows for a detailed examination of the intensity components of lift-circularly polarized, right-circularly polarized, interference and total intensity distributions of FEAHHG beams in the chiral medium. Through numerical simulations, we systematically investigate the influence of key parameters including beam order, hollowness order, and chiral parameters on the beam’s chirality properties and intensity distribution. The results reveal that FEAHHG beams undergo significant structural transformations in chiral media, deviating notably from their free-space propagation characteristics, particularly in the interference component. Additionally, the peak intensity of FEAHHG beams gradually decreases as the propagation distance increases. A key finding of this study is that the total intensity profile is strongly correlated with the RCP component, highlighting the dominant role of chirality in shaping the beam’s propagation behavior. These insights suggest that structured light beams in chiral media offer promising opportunities for advanced optical applications, including optical manipulation, beam shaping, and optical sorting. Moreover, we demonstrate that varying the chiral parameter significantly alters the beam’s autofocusing behavior and focal length, suggesting that chiral media can be actively used as a tunable platform for advanced beam shaping and optical control.</p>